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ArbitrLikvidat [17]

2 years ago

10

If theater has 22 rows and the last row has 63 seats and the first row has 27 with the common difference of 3 how many seats are

there in all

1 answer:

Inga [223]2 years ago

4 0

Answer:

Step-by-step explanation:

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Mr. Kramer has 30 pencils for his class. There are 22 students in his class and he would like

saw5 [17]

Answer:

6

Step-by-step explanation:

Mr. Kramer has pencils for his class = 30

Students in his class = 22

Pencils he would like to give each student = 2

How many more pencils does Mr. Kramer need to buy so that each student will receive 2 pencils = ?

Total pencils Mr. Kramer need to buy so that each student will receive 2 pencils = 22 × 2

= 44

= 44 - 30

= 6

Mr. Kramer need to buy 6 more pencils so that each student will receive 2 pencils

5 0

2 years ago

Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2

Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

$\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}$

Isolating x from equation 1:

$\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}$

Substituting equation 3 into equation 2 and solving for y:

$\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}$

6 0

8 months ago

3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm s

Gekata [30.6K]

Step-by-step explanation:

Volume of displaced water = (10cm)(10cm)(1.6cm)

= 160 cm^3

density = mass/vol of displaced water

= 3088 grams/160 cm^3

= 19.3 g/cm^3

P.S. This is most likely a pure gold medallion.

6 0

2 years ago

the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi

earnstyle [38]

Answer:

157 in

Step-by-step explanation:

2x3.14x25 = 157 in

3 0

2 years ago

A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does that re

alexira [117]

For the restaurant to make 20 gallons of a lemonade mixture that is 10% sugar, they need 12 gallons of the 12% lemonade and 8 gallons of the 7% lemonade. The correct answer is A.

7 0

3 years ago